How many solution are there for the following system of equation?

y=x^2-5x+5

y=x-6

x² - 5x + 5 = x - 6

+ 5x + 5x

x² + 5 = 6x - 6

+ 6 + 6

x² + 11 = 6x

x² - 6x + 11 = 0

x = - (-6) + / - √ ((-6) ² - 4 (1) (11))

2 (1)

x = 6 + / - √ (36 - 44)

2

x = 6 + / - √ (-8)

2

x = 6 + / - 2√ (2)

2

x = 3 + √ (2)

x = 3 + √ (2) x = 3 - √ (2)

There are many solutions.